What is the Least Common Multiple of 94749 and 94764?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 94749 and 94764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94749 and 94764, than apply into the LCM equation.

GCF(94749,94764) = 3
LCM(94749,94764) = ( 94749 × 94764) / 3
LCM(94749,94764) = 8978794236 / 3
LCM(94749,94764) = 2992931412

Least Common Multiple (LCM) of 94749 and 94764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94749 and 94764. First we will calculate the prime factors of 94749 and 94764.

Prime Factorization of 94749

Prime Factorization of 94764

Now multiplying the highest exponent prime factors to calculate the LCM of 94749 and 94764.

LCM(94749,94764) = 3¹ × 31583¹ × 2² × 53¹ × 149¹
LCM(94749,94764) = 2992931412